Question

14. Find the areas of the figures given below, where all the corners are right angled and
dimensions are given in centimetres.​

Answer 1

Answer:

105

Step-by-step explanation:

9 x 7 = 63

8 x 4 = 32

5 x 2 = 10 +

     ________

           105

hope this helps!

Answer 2

Answer:

Area of the polygon ABCDEFGH $=49 cm^2$

Step-by-step explanation:

For convenience, all significant points are marked as shown in the attached.

Area of the polygon ABCDEFGH

= Area of rectangle AIGH + Area of rectangle BCJI + Area of rectangle DEFJ

= GH.AH + BC.BI + DE.DJ

= GH.AH + BC.(BA - IA) + (BC - AH - GF).(CD - BI)

= GH.AH + BC.(BA - GH) + (BC - AH - GF).[CD - (BA - IA)]

$=(5).(2) cm^2 + (9).(8 - 5) cm^2 + (9 - 2 - 4).[7 - (8 - 5)]cm^2$

$=10 cm^2 + 27 cm^2 + 3.4cm^2$

$=37 cm^2 + 12cm^2$

$=49 cm^2$